Answer:
y= 2x-3 m=2 b= -3
Step-by-step explanation:
we distribute 2(x-2)
y-1 = 2(x-2)
y-1 = 2x-4
then add one to both sides
y-1= 2x -4
+1 +1
since it is negative four and you are adding one it would be -3
y= 2x -3 that is your slope intercept form.
y= mx +b so m=2 and b= -3
Answer:
Step-by-step explanation:
The mode is 24 so we know that at least 2 of the 5 numbers are 24.
The mean is 20 so we know that the 5 numbers add up to 100.
The median is 21 so the third number is 21.
100-(24+24+21)= 31
Now, I am pretty certain that the last 2 numbers can be anything as long as they add up to 31 AND they are not also 21 because 24 then would no longer be the mode.
E.g. 24, 24, 21, 11 & 20
Answer:
0
Step-by-step explanation:
Let's define 3 areas:
- S = area of semicircle with radius 6 in (diameter AB)
- T = area of quarter circle with radius 6√2 in (radius AC)
- U = area of triangle ABC (side lengths 6√2)
The white space between the "moon" and the triangle has area ...
white = T - U
Then the area of the "moon" shape is ...
moon = S -white = S -(T -U) = S -T +U
The area we're asked to find is ...
moon - triangle = (S -T +U) -U = S -T
__
The formula for the area of a circle of radius r is ...
A = πr²
So, ...
S = (1/2)π(6 in)² = 18π in²
and
T = (1/4)π(6√2 in)² = 18π in²
The difference in areas is S -T = (18π in²) -(18π in²) = 0.
There is no difference between the areas of the "moon" and the triangle.
Answer:
x=8 y=24
Step-by-step explanation:
y=3x x=y-16
x=3x-16
-3x -3x
<u>-2x=-16</u>
2 2
x=8
y=3(8)
y=24
